ASVAB Math Knowledge Practice Test 430764 Results

Your Results Global Average
Questions 5 5
Correct 0 3.73
Score 0% 75%

Review

1

On this circle, line segment AB is the:

71% Answer Correctly

circumference

chord

radius

diameter


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


2

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

a2 - c2

c2 - a2

c - a

c2 + a2


Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)


3

What is 8a + 4a?

81% Answer Correctly
32a2
12a
32a
a2

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

8a + 4a = 12a


4

If a = c = 6, b = d = 4, what is the area of this rectangle?

80% Answer Correctly
21
9
64
24

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 6 x 4
a = 24


5

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

91% Answer Correctly

addition

division

pairs

exponents


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)